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SUMMARY:Soumya Sankar (Utrecht University)
DTSTART:20231122T140000Z
DTEND:20231122T150000Z
DTSTAMP:20260424T095916Z
UID:FGC-IPM/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/41/"
 >Counting  points on stacks and elliptic curves with a rational N-isogeny<
 /a>\nby Soumya Sankar (Utrecht University) as part of FGC-HRI-IPM Number T
 heory Webinars\n\n\nAbstract\nThe classical problem of counting elliptic c
 urves with a rational N-isogeny can be phrased in terms of counting ration
 al points on certain moduli stacks of elliptic curves. Counting points on 
 stacks\, while posing various challenges\, has also opened up several new 
 avenues of exploration in the last few years. In this talk\, I will give a
 n introduction to modular curves from the stacky perspective\, discuss som
 e notions of height on them\, and use some of these notions to answer the 
 counting question mentioned above. Time permitting\, I will talk about thi
 s in the context of the stacky version of the Batyrev-Manin conjecture. Th
 e talk assumes no prior knowledge of stacks and is based on joint work wit
 h Brandon Boggess.\n\npassword is eight four eight zero eight four\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/41/
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